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Finding the Fourth Proportional to 255,888, 384,164.61 and 196,765.19

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Solution

The fourth proportional to 255,888, 384,164.61 and 196,765.19 is: 295,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,888 : 384,164.61 = 196,765.19 : x
  2. Step 2: Convert to fraction form
    255,888/384,164.61 = 196,765.19/x
  3. Step 3: Cross multiply
    255,888x = 384,164.61 × 196,765.19
  4. Step 4: Simplify right side
    255,888x = 75,590,222,477.93
  5. Step 5: Solve for x
    x = 75,590,222,477.93/255,888
  6. Step 6: Final answer
    x = 295,403.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.